Write an equation of the line that passes through (2, -2) and is parallel to the line y=3x+9 . an equation of the parallel line is y=

y = 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 9 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (2, - 2) into the partial equation

- 2 = 6 + c ⇒ c = - 2 - 6 = - 8

y = 3x - 8 ← equation of parallel line

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step-by-step explanation:

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step-by-step explanation: